O-LevelMathematicsNumber4024/22 · May/June 2014 · Q39 Marks
Mariam works in a shop. She earns $5.20 per hour. She also earns a bonus of 15% of the value of the items she sells in a week. In one week she works for 32 hours and sells items with a value of £2450. Calculate Mariam's total earnings for the week.
- (a)(i)Mariam works in a shop. She earns $5.20 per hour. She also earns a bonus of 15% of the value of the items she sells in a week. In one week she works for 32 hours and sells items with a value of £2450. Calculate Mariam's total earnings for the week.[2]
- (a)(ii)In another week, Mariam worked for 28 hours and earned a total of $409.60. Calculate the value of the items she sold that week.[3]
- (b)(i)Jack opens a bank account paying simple interest. He pays in $800 and leaves it in the account for 4 years. At the end of 4 years he closes the account and receives $920. Calculate the percentage rate of simple interest paid per year.[2]
- (b)(ii)Jack uses some of the $920 to pay for a holiday and a computer. He saves the remainder. The money is divided between the holiday, computer and savings in the ratio 4:5:7. Calculate the amount he saves.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [2] (a)(i) 533.9(0) to 534
- [2] (a)(i) M1 for 32 × 5.20 +0.15 × 2450
- [3] (a)(ii) 1760
- [3] (a)(ii) M1 for 409.6 – 28 × 5.20 [= 264] M1 for 'their 264' ÷ 0.15
- [2] (b)(i) 3.75
- [2] (b)(i) SC1 for an answer of 28.75, 28.7, 28.8, 15, 3.7, 3.8 or 0.0375
- [2] (b)(ii) 402.5[0] or 403 or 402
- [2] (b)(ii) M1 for (920 / (4+5+7)) x 7
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